267340640 has 192 divisors, whose sum is σ = 805593600. Its totient is φ = 81616896.

The previous prime is 267340627. The next prime is 267340643. The reversal of 267340640 is 46043762.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 267340597 and 267340606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (267340643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361391 + ... + 362129.

It is an arithmetic number, because the mean of its divisors is an integer number (4195800).

Almost surely, 2^267340640 is an apocalyptic number.

267340640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 267340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402796800).

267340640 is an abundant number, since it is smaller than the sum of its proper divisors (538252960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

267340640 is a wasteful number, since it uses less digits than its factorization.

267340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 267340640 is about 16350.5547306506. The cubic root of 267340640 is about 644.2013952890.

The spelling of 267340640 in words is "two hundred sixty-seven million, three hundred forty thousand, six hundred forty".